Spontaneous symmetry breaking as a result of extra dimensions compactification

IF 2.1 4区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

General Relativity and Gravitation Pub Date : 2024-09-23 DOI:10.1007/s10714-024-03301-0

Dmitry Chirkov, Alex Giacomini, Alexey Toporensky, Petr Tretyakov

引用次数: 0

Abstract

We consider dynamics of a scalar field in compactification scenario of Einstein-Gauss-Bonnet cosmology. It is shown that if the field is non-minimally coupled to curvature, its asymptotic value under certain conditions may be shifted from the minimum of its potential. This means that due to influence of extra dimensions a scalar field with \(\lambda \phi ^4\) potential can stabilise away from \(\phi =0\) stable point which means an effective symmetry breaking occurs in such a system.

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额外维度压缩导致的自发对称破缺

我们考虑了在爱因斯坦-高斯-波内特宇宙学的致密化情景中标量场的动力学。结果表明，如果场与曲率的耦合是非最小的，那么它在某些条件下的渐近值可能会偏离其势能的最小值。这意味着由于额外维度的影响，具有（\lambda \phi ^4\）势的标量场可以从（\phi =0\）稳定点稳定下来，这意味着在这样的系统中会发生有效的对称性破缺。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

General Relativity and Gravitation 物理-天文与天体物理

CiteScore

4.60

自引率

3.60%

发文量

136

审稿时长

3 months

期刊介绍： General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation. It welcomes in particular original articles on the following topics of current research: Analytical general relativity, including its interface with geometrical analysis Numerical relativity Theoretical and observational cosmology Relativistic astrophysics Gravitational waves: data analysis, astrophysical sources and detector science Extensions of general relativity Supergravity Gravitational aspects of string theory and its extensions Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations Quantum field theory in curved spacetime Non-commutative geometry and gravitation Experimental gravity, in particular tests of general relativity The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.